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Chapter 12 Class 11 Limits and Derivatives

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Updated for NCERT Class 11 Book - 2023-24 Edition.

Get answers to all NCERT exercises, examples and miscellaneous questions of Chapter 13 Class 11 Limits and Derivatives free at teachoo. All solutions are prepared step-by-step wise, with concepts, formulas and detailed explanation of each and every question.

This chapter is the introduction to Calculus.

Calculus includes Limits, Continuity, Derivatives, Applications of Derivatives (like slope and rate of change), Integration, Application of Integration (like finding area) and Differential Equations. We will study about Limits, and Derivatives in this chapter. Rest of the topics are included in Class 12.

In this chapter, we will learn

What limit is
Finding limits by putting values
Finding limits of questions with 0/0 form
Finding limits using xⁿ - aⁿ formula
Finding limits using Trigonometric Formula (sin x/x and 1-cos x)
Checking if limit exists, using Right Hand Limit and Left Hand Limit
What a derivative is
Finding derivatives at a point using first principle
Finding derivatives at the whole domain using first principle
Product rule of derivatives (uv)' = u'v + v'u
Quotient rule of derivatives (u/v)' = (u'v - v'u)/v²
Finding derivatives using formulas

Check out the solutions of the exercises below. or click on a topic to learn the concepts and the questions.

Serial order wise

Concept wise

Limits - Definition

Limits - 0/0 form

Limits - x^n formula

Limits - Of Trignometric functions

Limits - Limit exists

Derivatives by 1st principle - At a point

Derivatives by 1st principle - At a general point

Derivatives by formula - x^n formula

Derivatives by formula - sin & cos

Derivatives by formula - other trignometric

What's in it?

Updated for NCERT Class 11 Book - 2023-24 Edition.

Get answers to all NCERT exercises, examples and miscellaneous questions of Chapter 13 Class 11 Limits and Derivatives free at teachoo. All solutions are prepared step-by-step wise, with concepts, formulas and detailed explanation of each and every question.

This chapter is the introduction to Calculus.

Calculus includes Limits, Continuity, Derivatives, Applications of Derivatives (like slope and rate of change), Integration, Application of Integration (like finding area) and Differential Equations. We will study about Limits, and Derivatives in this chapter. Rest of the topics are included in Class 12.

In this chapter, we will learn

What limit is
Finding limits by putting values
Finding limits of questions with 0/0 form
Finding limits using xⁿ - aⁿ formula
Finding limits using Trigonometric Formula (sin x/x and 1-cos x)
Checking if limit exists, using Right Hand Limit and Left Hand Limit
What a derivative is
Finding derivatives at a point using first principle
Finding derivatives at the whole domain using first principle
Product rule of derivatives (uv)' = u'v + v'u
Quotient rule of derivatives (u/v)' = (u'v - v'u)/v²
Finding derivatives using formulas

Check out the solutions of the exercises below. or click on a topic to learn the concepts and the questions.